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Finding the Fourth Proportional to 1,980.54, 2,970.06 and 1,431.06

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Solution

The fourth proportional to 1,980.54, 2,970.06 and 1,431.06 is: 2,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.54 : 2,970.06 = 1,431.06 : x
  2. Step 2: Convert to fraction form
    1,980.54/2,970.06 = 1,431.06/x
  3. Step 3: Cross multiply
    1,980.54x = 2,970.06 × 1,431.06
  4. Step 4: Simplify right side
    1,980.54x = 4,250,334.06
  5. Step 5: Solve for x
    x = 4,250,334.06/1,980.54
  6. Step 6: Final answer
    x = 2,146.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.